This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms.

Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

Industrial Revolution 4.0 has dramatically changed the business and social landscape, including human behavior not only in advanced countries but also in emerging countries. Technology development affects many aspects in our society, including education. Distance learning, big data and analytics, artificial intelligent and many digital innovations have been released to improve better quality education in our society. These proceedings provide selected papers/research about innovative digital technology in education and pedagogy in Industrial revolution 4.0 covering issues like: pedagogy, education management, early childhood education, research in education, training and vocational education and social science education, earth science education and art/linguistic education related to digital innovation. This book provides details beyond what is possible to be included in an oral presentation and constitute a concise but timely medium for the dissemination of recent research results. It will be invaluable to professionals and academics in the field of education and pedagogy to get an understanding of recent research.

This book provides international perspectives on the use of digital technologies in primary, lower secondary and upper secondary school mathematics. It gathers contributions by the members of three topic study groups from the 13th International Congress on Mathematical Education and covers a range of themes that will appeal to researchers and practitioners alike. The chapters include studies on technologies such as virtual manipulatives, apps, custom-built assessment tools, dynamic geometry, computer algebra systems and communication tools. Chiefly focusing on teaching and learning mathematics, the book also includes two chapters that address the evidence for technologies’ effects on school mathematics. The diverse technologies considered provide a broad overview of the potential that digital solutions hold in connection with teaching and learning. The chapters provide both a snapshot of the status quo of technologies in school mathematics, and outline how they might impact school mathematics ten to twenty years from now.

This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.

Mobile technologies influence the way that we interact with the world, the way that we live. We use them for communication, entertainment, information and research. In education settings, there has been substantial investment in mobile devices, often without a concomitant investment in developing pedagogy and practices. With mobile technologies evolving rapidly, and the number of educational apps growing, there is a need for research into how they facilitate mathematics learning. Such research is of particular importance regarding how such devices may be used to open up new ways of envisaging mathematics and mathematics education, and to help develop conceptual rather than procedural or declarative knowledge. This volume draws upon international research and reports on a range of research projects that have incorporated mobile technologies for mathematics education. It presents research on the use of mobile technologies, such as iPads, iPods, iPhones, Androids, and Tablets, across a diverse range of cultures, year levels and contexts. It examines the ways in which mobile technologies, including apps, might influence students’ engagement, cognition, collaboration and attitudes, through the reshaping of the learning experience. In addition, the book presents appropriate ways to integrate mobile technologies into teaching and learning programmes. It is a significant reference book for those involved with teaching mathematics or using mobile technologies in education, while also offering insights and examples that are applicable to the use of digital technologies in education generally.

International Journal of Educational Management and Development Studies (IJEMDS) is an open access refereed journal focused on educational leadership, educational management, teaching and learning across all disciplines and levels, internationalization of education, transnational education and societal issues on educational development. The field of education has been continuously evolving as influenced by its nature and the societal factors. As the journal celebrates the very dynamic and complex nature of education, it provides educators and researchers a platform for their research findings. This allows researchers to apply multiple designs to describe, analyze and evaluate the history, current issues and the future direction of education in regional and international contexts.

Digital practices are forging ahead in leaps and bounds. Examining digital practices in early childhood education, this book seeks to inform the discussion on how digital technologies are best integrated into play-based pedagogy, and demonstrates effective practices that enhance children’s learning and development. With a range of international contributors, perspectives, and case studies, the fusion of play and portable technology is explored through contemporary research.

The International Congress on Mathematical Education (ICME) is the largest international conference on mathematics education in the world. This quadrennial event is organized under the auspices of the International Commission on Mathematical Instruction (ICMI). This book, the Proceedings of ICME-14, presents the latest trends in mathematics education research and mathematics teaching practices at all levels. Each chapter covers an extensive range of topics in mathematics education.Volume I consists of 4 Plenary Lectures, 3 Plenary Panels, 5 Lectures of Awardees, 4 Survey Teams, 62 Topic Study Groups, 13 Discussion Groups, 20 Workshops, a Thematic Afternoon, and an Early Career Researcher Day. Plenary Lectures recognize substantial and continuing contributions to the growth of the field of Mathematics Education. Plenary Panels address three major challenges currently facing mathematics educators across the globe. The Survey Teams have a particular emphasis on identifying and characterizing important new knowledge, recent developments, new perspectives, and emergent issues. The Topic Study Groups provides a coverage of important topics in mathematics education.Volume II consists of 50 invited lectures which present the work and reflections of both established and emerging researchers from around the world. These lectures cover a wide spectrum of topics, themes and issues that reflect the latest challenges and development in the field of mathematics education.

The primary years are recognised as a distinct period in a child's development with significant consequences for ongoing educational success. During this critical time, formal schooling and the associated activities introduce children to new and extended social roles where they learn to cooperate and collaborate with their peers and adults. Children also begin to develop a sense of themselves and their competence in a range of domains including social, academic, sport and music. This edited collection provides specialist guidance in developing curriculum, pedagogy and assessment to meet the needs of primary years children. The text begins by exploring the unique characteristics of this age group including cognitive, social, emotional and physical development. It considers the expectations of teachers, including ethical and legal issues and guidance on how to develop positive learning spaces and collaborative approaches. There is an exploration of the needs of the child including facilitating transition from the early years and into secondary school. The text then considers the curriculum in depth including language and literacy, mathematics and numeracy, science and technology, health and physical education and the humanities. A focus on some of the key challenges in primary education bring the book to its conclusion, including effectively harnessing digital technology, developing age appropriate pedagogies, practising differentiated learning and effective assessment. Rich with insights from experts in the field and featuring case studies and practical examples throughout, this is a key resource for both pre-service and in-service primary teachers. Other professionals working with primary years students and parents will also benefit from engaging with this book.